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Finding the Fourth Proportional to 2,440.05, 3,659.95 and 796.38

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Solution

The fourth proportional to 2,440.05, 3,659.95 and 796.38 is: 1,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.05 : 3,659.95 = 796.38 : x
  2. Step 2: Convert to fraction form
    2,440.05/3,659.95 = 796.38/x
  3. Step 3: Cross multiply
    2,440.05x = 3,659.95 × 796.38
  4. Step 4: Simplify right side
    2,440.05x = 2,914,692.68
  5. Step 5: Solve for x
    x = 2,914,692.68/2,440.05
  6. Step 6: Final answer
    x = 1,194.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.